Answer to Question #251378 in Discrete Mathematics for ken

Question

Given set A = {A, B, C, D, E, F, G, H} and B = {B, D, E, J, K}. Find for the:

1. A ∪ B 

2. A ∩ B

3. A x B

4. B x A

Answer 1

Given: A = {A, B, C, D, E, F, G, H} and B = {B, D, E, J, K}. Then:

1. A ∪ B = {A, B, C, D, E, F, G, H, J, K}
2. A ∩ B= {B, D, E}
3. A x B = {(A,B), (B,B), (C,B), (D,B), (E,B), (F,B), (G,B), (H,B), (A,D), (B,D), (C,D), (D,D), (E,D), (F,D), (G,D), (H,D), (A,E), (B,E), (C,E), (D,E), (E,E), (F,E), (G,E), (H,E), (A,J), (B,J), (C,J), (D,J), (E,J), (F,J), (G,J), (H,J), (A,K), (B,K), (C,K), (D,K), (E,K), (F,K), (G,K), (H,K)}
4. B x A = {(B,A), (D,A), (E,A), (J,A), (K,A), (B,B), (D,B), (E,B), (J,B), (K,B), (B,C), (D,C), (E,C), (J,C), (K,C), (B,D), (D,D), (E,D), (J,D), (K,D), (B,E), (D,E), (E,E), (J,E), (K,E), (B,F), (D,F), (E,F), (J,F), (K,F), (B,G), (D,G), (E,G), (J,G), (K,G), (B,H), (D,H), (E,H), (J,H), (K,H)}